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Tom [10]
3 years ago
5

Ariel completed the work below to show that a triangle with side lengths of 9, 15, and 12 does not form a right triangle. mc018-

1.jpg Is Ariel’s answer correct? No, Ariel should have added 122 and 1
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

Ariel answer is wrong.

Step-by-step explanation:

Given that Ariel had done a Math problem for a triangle with sides

9,15 and 12.  She concluded that these sides are not that of a right triangle.

To check whether Ariel is right:

Greater side = 15

Hence greatest angle will be opposite 15

Let us check pythagorean theorem

smaller sides are 9 and 12

Square and add them

9 square +12 square = 81+144 = 225 =15 square

We find that Pythagorus theorem is satisfied

Hence it is concluded that the triangle is right angled and Ariel was wrong

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3 years ago
Please help me , I have been try to solve it for 2 hours. thank you very much. ​
Alexxandr [17]

Answer:

See the three answers with their explanation below

Explanation:

<u>a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.</u>

In this case it is 2×3 = 6

See how you do it:

6\times \frac{1}{2}(x-4)=6\times \frac{1}{3}x+6\times 2\\ \\ 3(x-4)=2x+12

<u>b. This word problem would lead to the given equation:</u>

Half the age of Alice 4 years ago equals 2 more than one third of her current age.

  • Current age: x
  • Age four years ago: x - 4
  • Half the age of Alice four years ago:  \frac{1}{2}(x-4)
  • 2 more than one third of her current age: 2+\frac{1}{3}x=\frac{1}{3}x+2

Equality condition:

  • \frac{1}{2}(x-4)=\frac{1}{3}x+2

<u>c. Solution</u>

\frac{1}{2}(x-4)=\frac{1}{3}x+2\\ \\ 3(x-4)=2x+12\\ \\ 3x-12=2x+12\\ \\ x=24

Meaning: Alice is currently 24 years old.

3 0
4 years ago
Please help and show the work <br> simplify -2+(-9)
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The answer is -11, if you are adding a negative with a negative if will stay as a negative so you just add the numbers
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3 years ago
Read 2 more answers
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